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Finding the Fourth Proportional to 271.57, 374.88 and 192.90

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Solution

The fourth proportional to 271.57, 374.88 and 192.90 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.57 : 374.88 = 192.90 : x
  2. Step 2: Convert to fraction form
    271.57/374.88 = 192.90/x
  3. Step 3: Cross multiply
    271.57x = 374.88 × 192.90
  4. Step 4: Simplify right side
    271.57x = 72,313.29
  5. Step 5: Solve for x
    x = 72,313.29/271.57
  6. Step 6: Final answer
    x = 266.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.